Give the cartesian form of a complex number
z = x + iy
Give the polar form of a complex number
r = eiθ
r = modulus/absolute value/magnitude. |z| = √(x2+y2)
tanθ = (y/x). Draw out diagrams!!
i2 = -1
i is the square root of -1
Define the modulus of a complex number, r
Also known as the magnitude or absolute value.
r = √x2 + y2
Define the argument of a complex number
θ is the argument.
θ = tan-1(y/x)
Describe the process of finding roots
By multiplying r by e2nπi before taking roots, all solutions to the equation can be found